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arXiv · 1007.4923

Wilson Loops in N=2 Superconformal Yang-Mills Theory

Roman Andree·Donovan Young
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Abstract

We present a three-loop O(g^6) calculation of the difference between the expectation values of Wilson loops evaluated in N=4 and superconformal N=2 supersymmetric Yang-Mills theory with gauge group SU(N) using dimensional reduction. We find a massive reduction of required Feynman diagrams, leaving only certain two-matter-loop corrections to the gauge field and associated scalar propagator. This "diagrammatic difference" leaves a finite result proportional to the bare propagators and allows the recovery of the zeta(3) term coming from the matrix model for the 1/2 BPS circular Wilson loop in the N=2 theory. The result is valid also for closed Wilson loops of general shape. Comments are made concerning light-like polygons and supersymmetric loops in the plane and on S^2.

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Roman Andree, Donovan Young. 2010-11-03. Wilson Loops in N=2 Superconformal Yang-Mills Theory. https://doi.org/10.1007/jhep09(2010)095

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